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Finding the Fourth Proportional to 20,830.23, 28,745.37 and 11,878.23

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Solution

The fourth proportional to 20,830.23, 28,745.37 and 11,878.23 is: 16,391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830.23 : 28,745.37 = 11,878.23 : x
  2. Step 2: Convert to fraction form
    20,830.23/28,745.37 = 11,878.23/x
  3. Step 3: Cross multiply
    20,830.23x = 28,745.37 × 11,878.23
  4. Step 4: Simplify right side
    20,830.23x = 341,444,116.30
  5. Step 5: Solve for x
    x = 341,444,116.30/20,830.23
  6. Step 6: Final answer
    x = 16,391.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.